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arXiv · 1408.1337

On the simplicity of homeomorphism groups of a tilable lamination

José Aliste-Prieto·Samuel Petite
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Abstract

We show that the identity component of the group of homeomorphisms that preserve all leaves of a R^d-tilable lamination is simple. Moreover, in the one dimensional case, we show that this group is uniformly perfect. We obtain a similar result for a dense subgroup of homeomorphisms.

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José Aliste-Prieto, Samuel Petite. 2014-08-06. On the simplicity of homeomorphism groups of a tilable lamination. https://arxiv.org/abs/1408.1337

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